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Finding the Fourth Proportional to 1,965.14, 2,947.70 and 597.14

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Solution

The fourth proportional to 1,965.14, 2,947.70 and 597.14 is: 895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.14 : 2,947.70 = 597.14 : x
  2. Step 2: Convert to fraction form
    1,965.14/2,947.70 = 597.14/x
  3. Step 3: Cross multiply
    1,965.14x = 2,947.70 × 597.14
  4. Step 4: Simplify right side
    1,965.14x = 1,760,189.58
  5. Step 5: Solve for x
    x = 1,760,189.58/1,965.14
  6. Step 6: Final answer
    x = 895.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.